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An Investigation on the Fabric Type Dependency of the Crack Damage Thresholds in Brittle Rocks

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Abstract

Fabric-guided micro-fracturing phenomenon in brittle rocks and its effect on crack damage thresholds remains subject to continuing research. The available fabric in rocks can act as a motivator for nucleation and/or extension and interaction of micro-fractures in a preferred orientation, or as a suppressor for growth of micro-cracks in a given direction by different mechanisms such as compliance (stiffness contrast) or preferred orientation of minerals and their boundaries. While anisotropy of brittle rocks in terms of their mechanical strengths can play a significant role in the stability of underground openings, the understanding of the dependency of crack initiation (CI) and crack propagation (CD) thresholds on the available fabric in rocks can improve predictions of the extension and density of micro-fracturing in different directions in the walls of underground openings. To better understand the fabric-guided micro-fracturing phenomenon, and also to study the effect of fabric types available in brittle rocks on their anisotropic behaviour, four types of brittle rocks with different types of fabric are investigated in terms of crack damage anisotropy in this paper. The rocks that are chosen for this study are limestone from the Cobourg Formation, Queenston shale, Olkiluoto mica gneiss and Lac du Bonnet granite. For each rock type, CI and CD thresholds are identified from the unconfined compressive strength testing data. The mechanical behaviour of the four rock types are investigated at each damage stress level and the contributing factors to the isotropic or anisotropic behaviour of the rocks at different crack damage thresholds are discussed.

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References

  • Amadei B (1996) Importance of anisotropy when estimating and measuring in situ stress in rock. Int J Rock Mech Min Sci Geomech Abstr 33(3):293–325

    Article  Google Scholar 

  • Amann F, Ündül Ö, Kaiser PK (2014) Crack initiation and crack propagation in heterogeneous sulfate-rich clay rocks. Rock Mech Rock Eng 47(5):1849–1865

    Article  Google Scholar 

  • ASTM (2012) Designation D7012-10: standard test method for compressive strength and elastic moduli of intact rock core specimens under varying states of stress and temperatures. ASTM International, West Conshohocken (PA)

    Google Scholar 

  • Attewell PB, Sandford MR (1974) Intrinsic shear strength of a brittle, anisotropic rock—I: experimental and mechanical interpretation. Int J Rock Mech Min Sci Geomech Abstr 11(11):423–430

    Article  Google Scholar 

  • Barla G (1974) Rock anisotropy: theory and laboratory testing. In: Muller L (ed) Rock Mechanics. Springer, Wien, pp 131–169

  • Barron K (1971) Brittle fracture initiation in and ultimate failure of rocks: part III—anisotropic rocks: experimental results. Int J Rock Mech Min Sci Geomech Abstr 8(6):565–575

    Article  Google Scholar 

  • Bieniawski ZT (1967) Mechanism of brittle rock fracture: part II—experimental studies. Int J Rock Mech Min Sci Geomech Abstr 4(4):407–423

    Article  Google Scholar 

  • Brace WF, Paulding BW, Scholz C (1966) Dilatancy in the fracture of crystalline rocks. J Geophys Res 71(16):3939–3953

    Article  Google Scholar 

  • Brogly PJ, Martini IP, Middleton GV (1998) The Queenston Formation: shale dominated, mixed terrigenous-carbonate deposits of Upper Ordovician, semi-arid, muddy shores in Ontario, Canada. Can J Earth Sci 35(6):702–719

    Article  Google Scholar 

  • Colak K, Unlu T (2004) Effect of transverse anisotropy on the Hoek–Brown strength parameter ‘mi’ for intact rocks. Int J Rock Mech Min Sci 41(6):1045–1052

    Article  Google Scholar 

  • Dan DQ, Konietzky H, Herbst M (2013) Brazilian tensile strength tests on some anisotropic rocks. Int J Rock Mech Min Sci 58:1–7

    Google Scholar 

  • Diederichs MS (2000) Instability of hard rock masses: the role of tensile damage and relaxation. Ph.D .Thesis, University of Waterloo, Waterloo, Ontario

  • Diederichs MS (2003) Rock fracture and collapse under low confinement conditions. Rock Mech Rock Eng 36(5):339–381

    Article  Google Scholar 

  • Diederichs MS (2007) The 2003 CGS geocolluquium address: damage and spalling prediction criteria for deep tunnelling. Can Geotech J 44(9):1082–1116

    Article  Google Scholar 

  • Diederichs MS, Kaiser PK, Eberhardt E (2004) Damage initiation and propagation in hard rock during tunnelling and the influence of near-face stress rotation. Int J Rock Mech Min Sci 41(5):785–812

    Article  Google Scholar 

  • Donath FA (1961) Experimental study of shear failure in anisotropic rocks. Geol Soc Am Bull 72(6):985–989

    Article  Google Scholar 

  • Dyke CG (1989) Core discing: its potential as an indicator of principal in situ stress directions. In: Proceedings of ISRM international symposium. International society for rock mechanics, Pau, France

  • Eberhardt E (1998) Brittle rock fracture and progressive damage in uniaxial compression. Ph.D. Thesis, Department of Geological Sciences, University of Saskatchewan, Saskatoon, p 334

  • Everitt RA (2001) The influence of rock fabric on excavation damage in the Lac du Bonnet granite. Ph.D. Thesis, University of Manitoba

  • Everitt RA, Brown A, Davison CC, Gascoyne M, Martin CD (1990) Regional and local setting of the Underground Research Laboratory. In: Proceedings of international symposium on unique underground structures, Denver, vol 2, pp 1–23)

  • Gartner Lee (2008) Phase I regional geology, Southern Ontario. Supporting technical report, OPG 00216-REP-01300-00007-R00

  • Gatelier N, Pellet F, Loret B (2002) Mechanical damage of an anisotropic porous rock in cyclic triaxial test. Int J Rock Mech Min Sci 39(3):335–354

    Article  Google Scholar 

  • Ghazvinian E, Diederichs MS, Martin CD (2012a) Identification of crack damage thresholds in crystalline rock. In: Proceedings of Eurock 2012, Stockholm, Sweden

  • Ghazvinian E, Perras M, Diederichs M, Labrie D (2012b) Formalized approaches to defining damage thresholds in brittle rock: granite and limestone. In: Proceedings of the 46th US rock mechanics symposium, Chicago, USA

  • Gottschalk RR, Kronenberg AK, Russell JE, Handin J (1990) Mechanical anisotropy of gneiss: failure criterion and textural sources of directional behavior. J Geophys Res 95(B13):21613–21634

    Article  Google Scholar 

  • Hakala M, Heikkila E (1997) Laboratory testing of Olkiluoto mica gneiss in borehole OL-KR10. Posiva working report 97-07e

  • Hakala M, Kuula H, Hudson J (2005) Strength and strain anisotropy of Olkiluoto mica gneiss. Posiva working report 2005-61

  • Herget G, Arjang B (1990) Update on ground stresses in the Canadian Shield. In: Proceedings of stresses in underground structures (CANMET speciality conference), Ottawa, Canada, pp 33–47

  • Hobbs BE, Means WD, Williams PF (1976) An outline of structural geology, vol 570. Wiley, New York

    Google Scholar 

  • Hoek E (1964) Fracture of anisotropic rock. J S Afr Inst Min Metall 64(10):501–518

    Google Scholar 

  • International Society for Rock Mechanics Commission on Standardization of Laboratory and Field Tests (1978) Suggested methods for determining tensile strength of rock materials. Int J Rock Mech Min Sci 15(3):99–103

    Article  Google Scholar 

  • International Society for Rock Mechanics Commission on Standardization of Laboratory and Field Tests (1999) Suggested method for the complete stress–strain curve for intact rock in uniaxial compression. Int J Rock Mech Min Sci 36(3):279–289

    Article  Google Scholar 

  • Jaeger JC (1960) Shear failure of anisotropic rocks. Geol Mag 97(01):65–72

    Article  Google Scholar 

  • Jaeger JC, Cook NGW (1963) Pinching-off and disking of rocks. J Geophys Res 68(6):1759–1765

    Article  Google Scholar 

  • Karr DG, Law FP, Fatt MH, Cox GF (1989) Asymptotic and quadratic failure criteria for anisotropic materials. Int J Plast 5(4):303–336

    Article  Google Scholar 

  • Li Y, Schmitt DR (1998) Drilling-induced core fractures and in situ stress. J Geophy Res: Solid Earth 103(B3):5225–5239

    Article  Google Scholar 

  • Lim SS, Martin CD (2010) Core disking and its relationship with stress magnitude for Lac du Bonnet granite. Int J Rock Mech Min Sci 47(2):254–264

    Article  Google Scholar 

  • Martin CD (1993) The strength of massive Lac du Bonnet granite around underground openings. Ph.D. Thesis, Department of Civil and Geological Engineering, University of Manitoba, Winnipeg, MB

  • Martin CD (1997) Seventeenth Canadian geotechnical colloquium: the effect of cohesion loss and stress path on brittle rock strength. Can Geotech J 34(5):698–725

    Article  Google Scholar 

  • Martin CD, Read RS, Martino JB (1997) Observations of brittle failure around a circular test tunnel. Int J Rock Mech Min Sci 34(7):1065–1073

    Article  Google Scholar 

  • Martin CD, Kaiser PK, McCreath DR (1999) Hoek–Brown parameters for predicting the depth of brittle failure around tunnels. Can Geotech J 36(1):136–151

    Article  Google Scholar 

  • Martino JB, Thompson PM (1997) Status of the development of the deep doorstopper gauge system for in situ stress determination and summary of results from the deep stress measurement borehole at the Underground Research Laboratory. Ontario Hydro, Nuclear waste management division report 06819-REP-01200-10031-R00

  • Martino JB, Thompson PM, Chandler NA, Read RS (1997) The in situ stress program at AECL’s Underground Research Laboratory. Ontario Hydro, Nuclear waste management division report 06819-REP-01200-0053-R00

  • Mazurek M (2004) Long-term used nuclear fuel waste management: geoscientific review of the sedimentary sequence in southern Ontario. Nuclear Waste Management Organization, Technical report TR 04-01

  • McLamore R, Gray KE (1967) The mechanical behavior of anisotropic sedimentary rocks. J Manuf Sci Eng 89(1):62–73

    Google Scholar 

  • Nicksiar M, Martin CD (2013) Crack initiation stress in low porosity crystalline and sedimentary rocks. Eng Geol 154:64–76

    Article  Google Scholar 

  • Obert L (1977) The microseismic method-discovery and early history. In: Proceedings of first conference in acoustic emission/microseismic activity in geologic structures and materials. Trans Tech Publications, Clausthal, Germany, pp 11–12

  • Obert L, Stephenson DE (1965) Stress conditions under which core disking occurs. Soc Min Eng 232(3):227–235

    Google Scholar 

  • Pariseau WG (1972) Plasticity theory for anisotropic rocks and soils. In: Proceedings of the 10th US symposium on rock mechanics (USRMS), American Rock Mechanics Association

  • Passchier CW, Trouw RAJ (2005) Microtectonics, 2nd edn. Springer, Berlin

    Google Scholar 

  • Peng SD (1971) Stresses within elastic circular cylinders loaded uniaxially and triaxially. Int J Rock Mech Min Sci Geomech Abstr 8(5):399–432

    Article  Google Scholar 

  • Peng S, Johnson AM (1972) Crack growth and faulting in cylindrical specimens of Chelmsford granite. Int J Rock Mech Min Sci Geomech Abstr 9(1):37–86

    Article  Google Scholar 

  • Perras MA (2009) Tunnelling in horizontally laminated ground: the influence of lamination thickness on anisotropic behavior and practical observations from the Niagara Tunnel Project. M.Sc. Eng. Thesis, Queen’s University, Kingston, Ontario, Canada

  • Perras MA (2014) Understanding and predicting excavation damage in sedimentary rocks: a continuum based approach. Ph.D. Thesis, Queen’s University, Kingston, Ontario, Canada

  • Ramamurthy T (1993) Strength, modulus responses of anisotropic rocks. In: Hudson JA (ed) Compressive rock engineering, vol 1. Pergamon, Oxford, pp 313–329

    Google Scholar 

  • Read RS, Martin CD (1996) Technical summary of AECL’s mine-by experiment phase I: excavation response. Atomic Energy of Canada Ltd., Pinawa, MB (Canada). Whiteshell Labs

  • Rigbey SJ, Huang JHS, Yuen CMK, Boase MH (1994) Exploratory adit program for the Niagara River Hydroelectric development. In: Proceedings of the 12th Canadian tunnelling conference

  • Schandl E (2009) Petrography of DGR-1 and DGR-2 core. NWMO technical report, TR-07-12

  • Schneider CA, Rasband WS, Eliceiri KW (2012) NIH image to imagej: 25 years of image analysis. Nat Methods 9(7):671–675

    Article  Google Scholar 

  • Shea WT, Kronenberg AK (1992) Rheology and deformation mechanisms of an isotropic mica schist. J Geophys Res: Solid Earth 97(B11):15201–15237

    Article  Google Scholar 

  • Shea WT, Kronenberg AK (1993) Strength and anisotropy of foliated rocks with varied mica contents. J Struct Geol 15(9):1097–1121

    Article  Google Scholar 

  • Stacey TR (1982) Contribution to the mechanism of core discing. J S Afr Inst Min Metall 82:269–275

    Google Scholar 

  • Tapponnier P, Brace WF (1976) Development of stress-induced microcracks in Westerly granite. Int J Rock Mech Min Sci Geomech Abstr 13(4):103–112

    Article  Google Scholar 

  • Thompson PM, Chandler NA (2004) In situ rock stress determinations in deep boreholes at the Underground Research Laboratory. Int J Rock Mech Min Sci 41(8):1305–1316

    Article  Google Scholar 

  • Ündül Ö, Amann F, Aysal N, Plötze ML (2015) Micro-textural effects on crack initiation and crack propagation of andesitic rocks. Eng Geol. doi:10.1016/j.enggeo.2015.04.024

    Google Scholar 

  • Vaittinen T, Ahokas H, Heikkinen E, Hellä P, Nummela J, Saksa P, Tammisto E, Paulamäki S, Paananen M, Front K, Kärki A (2003) Bedrock model of Olkiluoto site, version 2003/1. Working report 2003-43. Posiva Oy, Olkiluoto

  • Walsh JB, Brace WF (1964) A fracture criterion for brittle anisotropic rock. J Geophys Res 69(16):3449–3456

    Article  Google Scholar 

  • Wong TF, Biegel R (1985) Effects of pressure on the micromechanics of faulting in San Marcos gabbro. J Struct Geol 7(6):737–749

    Article  Google Scholar 

Download references

Acknowledgments

The authors would like to acknowledge the Nuclear Waste Management Organization of Canada (NWMO) and the National Science and Engineering Research Council of Canada (NSERC) for supporting this research. Preparation and testing of the Cobourg limestone specimens was completed by Blain Conlon and Gilles Brisson at CanmetMINING, Natural Resources Canada, Ottawa, Ontario and is greatly appreciated. The discussions with Matthew Perras from ETH Zurich and Connor Langford from Hatch Mott MacDonald significantly helped in the preparation of this paper. Special thanks to Mark Jensen and Tom Lam from NWMO, Michelle van der Pouw Kraan and Florian Amann for their valuable comments.

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Ghazvinian, E., Diederichs, M.S., Labrie, D. et al. An Investigation on the Fabric Type Dependency of the Crack Damage Thresholds in Brittle Rocks. Geotech Geol Eng 33, 1409–1429 (2015). https://doi.org/10.1007/s10706-015-9909-1

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